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Finding the Fourth Proportional to 6,544.37, 9,031.06 and 3,560.14

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Solution

The fourth proportional to 6,544.37, 9,031.06 and 3,560.14 is: 4,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.37 : 9,031.06 = 3,560.14 : x
  2. Step 2: Convert to fraction form
    6,544.37/9,031.06 = 3,560.14/x
  3. Step 3: Cross multiply
    6,544.37x = 9,031.06 × 3,560.14
  4. Step 4: Simplify right side
    6,544.37x = 32,151,825.97
  5. Step 5: Solve for x
    x = 32,151,825.97/6,544.37
  6. Step 6: Final answer
    x = 4,912.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.